Group GAP4(64,33)

Name: (C4 x C2 x C2) : C4
Maximal quotient:GAP4(32,6)
Real polynomial:
x^64-224*x^62+22992*x^60-1439968*x^58+61825592*x^56-1938656608*x^54+46187587\
184*x^52-858812000608*x^50+12704225542044*x^48-151640244556640*x^46+14760141\
02560720*x^44-11808978126024544*x^42+78109082168790920*x^40-4288654771902136\
00*x^38+1959631868073925616*x^36-7460466123481941984*x^34+236608815109426965\
18*x^32-62422589196991493280*x^30+136612514031885414896*x^28-246971325518704\
878752*x^26+366679011816185490824*x^24-443693871235093612064*x^22+4332620430\
73789015504*x^20-337130982607319151136*x^18+205672067831796267420*x^16-96314\
742571166654240*x^14+33656068252888265840*x^12-8435633821163576096*x^10+1429\
094108067575864*x^8-147952048239305888*x^6+7569370436978640*x^4-894619503791\
68*x^2+39210732289
Common denominator of the automorphisms:
5506530562337470159251387410052082311487974701951291966677597715693469582522\
95910486369858748416
Complex polynomial:
x^64+1088*x^62+504560*x^60+135131776*x^58+23746133528*x^56+2939760288192*x^5\
4+268295981335312*x^52+18623585233915648*x^50+1005620941151932604*x^48+42949\
085382764159040*x^46+1468993388137320655728*x^44+40611454161410699156864*x^4\
2+913627006752010538668904*x^40+16804346806346551284264896*x^38+253451945301\
764141255698192*x^36+3139203107856493722523280384*x^34+319312487612840566953\
48564070*x^32+266394340868822529052887320256*x^30+18180031387745864198660165\
52272*x^28+10107372452007571973154300360064*x^26+455149587150574726341024541\
94216*x^24+164739659901362589814795212109632*x^22+47445740464964422371385438\
9630896*x^20+1073203950901651148722559490792192*x^18+18745910913704487817542\
37874460668*x^16+2473373102905226697532437801366720*x^14+2394231562218656499\
457870645503056*x^12+1634360076147997756448520226310784*x^10+743489133744775\
147466003124364760*x^8+206211593698411909224582453745472*x^6+296835272318118\
86922139539670576*x^4+1568506035853498826572875014656*x^2+239670602899671041\
07128700769
Common denominator of the automorphisms:
5805595810254432377500099925383860539693144553776071682344776612919041105079\
5895866708135058172018688

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.